Results 11 to 20 of about 529,491 (220)
(b, c)-inverse, inverse along an element, and the Schützenberger category of a semigroup [PDF]
We prove that the (b, c)-inverse and the inverse along an element in a semigroup are actually genuine inverse when considered as morphisms in the Schützenberger category of a semigroup. Applications to the Reverse Order Law are given.
Xavier MARY
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A Note on Locally Inverse Semigroup Algebras [PDF]
Let R be a commutative ring and S a finite locally inverse semigroup. It is proved that the semigroup algebra R[S] is isomorphic to the direct product of Munn algebras ℳ(R[GJ],mJ,nJ;PJ) with J∈S/𝒥, where mJ is the number of ℛ-classes in J, nJ the
Xiaojiang Guo
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An analogue of Bernside's lemma for finite inverse symmetric semigroup
An analogue of Bernside's lemma for transitive permutation representations of finite inverse symmetric semigroup is obtained.
T. V. Voloshyna
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Finite coverings of semigroups and related structures [PDF]
For a semigroup $S$, the covering number of $S$ with respect to semigroups, $\sigma_s(S)$, is the minimum number of proper subsemigroups of $S$ whose union is $S$.
Casey Donoven, Luise-Charlotte Kappe
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Beyond Regular Semigroups [PDF]
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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An analogue of Bernside's lemma for finite inverse symmetric semigroup
An analogue of Bernside's lemma for transitive permutation representations of finite inverse symmetric semigroup is obtained.
Voloshyna T.V.
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Pettis property for Polish inverse semigroups
We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana +2 more
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In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the natural example of a quantum inverse semigroup, several other examples of this new structure are presented in different contexts; those are related to Hopf algebras, weak ...
Marcelo Muniz Alves +2 more
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Expansions of inverse semigroups [PDF]
AbstractWe construct the freest idempotent-pure expansion of an inverse semigroup, generalizing an expansion of Margolis and Meakin for the group case. We also generalize the Birget-Rhodes prefix expansion to inverse semigroups with an application to partial actions of inverse semigroups.
Lawson, Mark V. +2 more
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Presentations of inverse semigroups, their kernels and extensions [PDF]
"Part of this work was done while Gray was an EPSRC Postdoctoral Research Fellow at the University of St Andrews, Scotland"Let S be an inverse semigroup and let π:S→T be a surjective homomorphism with kernel K.
Ruskuc, Nik +9 more
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